Question

How many roots do the following equations have?

-12x2 - 25x + 5 + x3 = 0

Answer 1

3 - Just observe the degree.

Answer 2

x^3 -12 x^2- 25 x + 5 = 0
when x is positive
+ - - +
yes no yes
when x is negative
- - +
no yes

should have 2 positive and 1 negative root

Answer 3

Or zero positive and two complex.